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Answer :
To find the mass of the crate using the given information, you can follow these steps:
1. Understand the formula: The formula used to relate force, mass, and acceleration is [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force applied, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
2. Identify the given values:
- The force ([tex]\( F \)[/tex]) applied to the crate is 200 Newtons.
- The acceleration ([tex]\( a \)[/tex]) of the crate is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
3. Rearrange the formula to solve for mass:
- The formula can be rearranged to solve for mass ([tex]\( m \)[/tex]):
[tex]\[
m = \frac{F}{a}
\][/tex]
- Here, you divide the force by the acceleration to find the mass.
4. Substitute in the values:
- Replace [tex]\( F \)[/tex] with 200 N and [tex]\( a \)[/tex] with [tex]\( 8 \, \text{m/s}^2 \)[/tex]:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]
5. Perform the calculation:
- Divide 200 by 8 to get:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
1. Understand the formula: The formula used to relate force, mass, and acceleration is [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force applied, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
2. Identify the given values:
- The force ([tex]\( F \)[/tex]) applied to the crate is 200 Newtons.
- The acceleration ([tex]\( a \)[/tex]) of the crate is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
3. Rearrange the formula to solve for mass:
- The formula can be rearranged to solve for mass ([tex]\( m \)[/tex]):
[tex]\[
m = \frac{F}{a}
\][/tex]
- Here, you divide the force by the acceleration to find the mass.
4. Substitute in the values:
- Replace [tex]\( F \)[/tex] with 200 N and [tex]\( a \)[/tex] with [tex]\( 8 \, \text{m/s}^2 \)[/tex]:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]
5. Perform the calculation:
- Divide 200 by 8 to get:
[tex]\[
m = 25 \, \text{kg}
\][/tex]
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
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